Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834r |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1624896 |
Modular degree for the optimal curve |
Δ |
-1.9805977080862E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2641685,2704558551] |
[a1,a2,a3,a4,a6] |
j |
-2038763327083572328197841/1980597708086151250278 |
j-invariant |
L |
3.7649127605302 |
L(r)(E,1)/r! |
Ω |
0.13446117001893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126672x1 47502s1 110838bw1 |
Quadratic twists by: -4 -3 -7 |